1987 AHSME Problems/Problem 16
Problem
A cryptographer devises the following method for encoding positive integers. First, the integer is expressed in base 
.
Second, a 1-to-1 correspondence is established between the digits that appear in the expressions in base and the elements of the set
. Using this correspondence, the cryptographer finds that three consecutive integers in increasing
order are coded as 
, respectively. What is the base-
expression for the integer coded as 
?
See also
| 1987 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 15 |
Followed by Problem 17 | |
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